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Finding the Fourth Proportional to 277.97, 417.03 and 82.97

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Solution

The fourth proportional to 277.97, 417.03 and 82.97 is: 124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 417.03 = 82.97 : x
  2. Step 2: Convert to fraction form
    277.97/417.03 = 82.97/x
  3. Step 3: Cross multiply
    277.97x = 417.03 × 82.97
  4. Step 4: Simplify right side
    277.97x = 34,598.58
  5. Step 5: Solve for x
    x = 34,598.58/277.97
  6. Step 6: Final answer
    x = 124.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.